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Finding the Fourth Proportional to 12,762.75, 17,613.18 and 7,098.07

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Solution

The fourth proportional to 12,762.75, 17,613.18 and 7,098.07 is: 9,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.75 : 17,613.18 = 7,098.07 : x
  2. Step 2: Convert to fraction form
    12,762.75/17,613.18 = 7,098.07/x
  3. Step 3: Cross multiply
    12,762.75x = 17,613.18 × 7,098.07
  4. Step 4: Simplify right side
    12,762.75x = 125,019,584.56
  5. Step 5: Solve for x
    x = 125,019,584.56/12,762.75
  6. Step 6: Final answer
    x = 9,795.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.